Representing Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What does it mean if a graph is linear?

Back

A linear graph represents a constant rate of change, meaning that as one variable increases or decreases, the other variable does so at a consistent rate.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in the y-coordinate divided by the change in the x-coordinate.

Front

How do you determine if a graph is proportional?

Back

A graph is proportional if it passes through the origin (0,0) and has a constant slope.

Front

What is the difference between linear and non-linear graphs?

Back

Linear graphs have a constant rate of change and form a straight line, while non-linear graphs do not have a constant rate of change and can curve.

Front

If Johnathan saves $25 per month, how much will he save in 6 months?

Back

$150

Front

What does a greater rate of change indicate in a graph?

Back

A greater rate of change indicates that the dependent variable changes more rapidly in response to changes in the independent variable.

Front

What is the formula for calculating slope?

Back

Slope (m) = (change in y) / (change in x) or m = (y2 - y1) / (x2 - x1).

Front

If a graph shows that Taylor can write 25 words per minute, what does this imply about her writing speed?

Back

It implies that for every minute that passes, Taylor writes 25 words.

Front

What is a constant rate of change?

Back

A constant rate of change means that the change in one quantity is always proportional to the change in another quantity.